NEET Chemistry - Chapter 3

States of Matter

Original NEET physical chemistry notes on gases, gas laws, kinetic theory, real gases, liquids, intermolecular forces, phase changes, and introductory solid-state ideas used in NEET.

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Concept Block

1. Gas Laws and the Ideal Gas Equation

Four experimental gas laws combine into one master equation. Know each law independently because NEET asks "which law says X" type questions.

LawConstantRelationship
Boyle'sT,nT, nPV=PV = const → P1/VP \propto 1/V
Charles'sP,nP, nV/T=V/T = const → VTV \propto T
Gay-Lussac'sV,nV, nP/T=P/T = const → PTP \propto T
Avogadro'sP,TP, TVnV \propto n (equal volumes, equal moles)
PV=nRT,R=8.314 J mol1K1=0.0821 L atm mol1K1PV=nRT,\quad R=8.314\text{ J mol}^{-1}\text{K}^{-1}=0.0821\text{ L atm mol}^{-1}\text{K}^{-1}
P1V1T1=P2V2T2(Combined gas law)\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\quad(\text{Combined gas law})

Dalton's Law: In a mixture, Ptotal=PA+PB+P_{total}=P_A+P_B+\ldots and PA=xAPtotalP_A=x_A\cdot P_{total} where xAx_A is mole fraction.

NEET trap: Always use absolute temperature in Kelvin (T=t°C+273T = t°C + 273). Using °C directly in PV=nRTPV=nRT gives completely wrong answers.
Concept Block

2. Kinetic Theory of Gases, Molecular Speeds, and Graham's Law

The kinetic theory derives gas pressure from molecular collisions and links molecular kinetic energy to temperature. Its key assumptions: point-mass molecules, elastic collisions, no intermolecular forces, negligible molecular volume.

Average KE per molecule=32kBT,per mole=32RT\text{Average KE per molecule}=\frac{3}{2}k_BT,\qquad\text{per mole}=\frac{3}{2}RT
urms=3RTM,uavg=8RTπM,ump=2RTMu_{rms}=\sqrt{\frac{3RT}{M}},\quad u_{avg}=\sqrt{\frac{8RT}{\pi M}},\quad u_{mp}=\sqrt{\frac{2RT}{M}}

Ratio: urms:uavg:ump=3:8/π:21.225:1.128:1.000u_{rms}:u_{avg}:u_{mp}=\sqrt{3}:\sqrt{8/\pi}:\sqrt{2}\approx 1.225:1.128:1.000

Graham's Law of Diffusion: Lighter gases diffuse faster. The rate is inversely proportional to the square root of molar mass.

rArB=MBMA=dBdA\frac{r_A}{r_B}=\sqrt{\frac{M_B}{M_A}}=\sqrt{\frac{d_B}{d_A}}
Worked example: H2_2 (M=2M=2) vs O2_2 (M=32M=32): rH2/rO2=32/2=4r_{H_2}/r_{O_2}=\sqrt{32/2}=4. Hydrogen diffuses 4 times faster than oxygen.
Concept Block

3. Real Gases, van der Waals Equation, and Compressibility Factor

Real gases deviate from ideal behavior because: (1) molecules have finite volume and (2) molecules attract each other. The van der Waals equation corrects both.

(P+an2V2)(Vnb)=nRT\left(P+\frac{an^2}{V^2}\right)(V-nb)=nRT

aa = intermolecular attraction correction; bb = volume correction (co-volume per mole). High aa → easily liquefied. High bb → large molecule.

The compressibility factor Z=PV/nRTZ = PV/nRT. For ideal gas, Z=1Z=1.

  • Z < 1: attractive forces dominate (gas is more compressible than ideal)
  • Z > 1: repulsive forces / finite volume dominate (less compressible than ideal)

Real gases approach ideal behavior at low pressure and high temperature (Boyle temperature for each gas).

NEET tip: At very low pressures, all gases have Z1Z\approx1. At moderate pressures, Z<1 for most gases. At very high pressures, Z>1 always.
Concept Block

4. Liquid State: Vapour Pressure, Surface Tension, and Viscosity

Liquids have defined volume but not defined shape. The three key liquid properties tested in NEET all depend on the strength of intermolecular forces.

PropertyDefinitionEffect of stronger IMFEffect of ↑ Temperature
Vapour pressurePressure of vapour over liquid at equilibriumDecreasesIncreases
Surface tensionForce per unit length at surfaceIncreasesDecreases
ViscosityResistance to flowIncreasesDecreases

Boiling point = temperature where vapour pressure = external pressure. At high altitude, external pressure is lower, so water boils below 100°C.

Capillary rise: h=2Tcosθ/(rρg)h = 2T\cos\theta/(r\rho g). For water (concave meniscus), capillary rise occurs. For mercury (convex meniscus), capillary depression occurs.

NEET tip: Water has anomalously high BP, surface tension, and viscosity for its low molar mass — all because of extensive hydrogen bonding.
Concept Block

5. Phase Diagrams, Critical Point, Triple Point, and Solid-State Overview

A phase diagram maps which state of matter is stable at each temperature-pressure combination.

  • Triple point: unique TT and PP where solid, liquid, and gas coexist in equilibrium. For water: 0.006 atm and 0.0075°C.
  • Critical point (TcT_c, PcP_c): above this, liquid and gas phases are indistinguishable — it becomes a supercritical fluid. The liquid-gas boundary ends here.
  • Sublimation curve: solid ⇌ gas equilibrium. CO2_2 sublimes at 1 atm (triple point is above 1 atm).

For solids, two types matter in NEET:

PropertyCrystalline SolidAmorphous Solid
MeltingSharp melting pointSoftens over a range
OrderLong-range 3D orderShort-range or no order
AnisotropyAnisotropicIsotropic
ExamplesNaCl, diamond, quartzGlass, rubber, plastic
NEET trap: Glass is an amorphous solid — it is NOT a supercooled liquid (an older, incorrect term still seen in some textbooks). NCERT now classifies glass as amorphous solid.
Practice Tests

5 Chapter Tests of 25 Questions Each

Each test is original, NEET-aligned, and answer-backed. Use them as sectional revision instead of a single long mock so your weak subtopics become easier to identify quickly.

Test 1: Gas Laws and Kinetic Theory

Gas laws, ideal gas equation, partial pressure, and kinetic theory basics.

Test 2: Liquid State

Vapour pressure, boiling point, surface tension, viscosity, capillarity, and phase change.

Test 3: Real Gases

van der Waals corrections, compressibility factor, diffusion, and liquefaction.

Test 4: Solids and Phase Ideas

Crystalline vs amorphous solids, defects, packing, and state-property comparisons.

Test 5: Mixed NEET Drill

Numerical and conceptual integration across gases, liquids, and solids.

Open Practice Tests
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